Which pair of equations generates graphs with the same vertex?

Some new academics question and answer inquired students to say what they agree to is the most important factor for a student to do in order for you to become success. A lot of answers, the one which that stood out was practice. People who are usually successful do not become successful by being born. They work hard and dedication their lives to succeeding. This is how you can obtain your goals. the following are one of the answer and question example that you could simply utilise to practice and enhance your information and also give you insights that would assist you to maintain your study in school.

Question:

Which pair of equations generates graphs with the same vertex?A) y = –(x + 4)2 and y = (x – 4)2
B) y = –4×2 and y = 4×2
C) y = –x2 – 4 and y = x2 + 4
D) y = (x – 4)2 and y = x2 + 4

Answer:

A quadratic equation may be expressed in vertex form as:
y = a(x – h)² + k, the vertex being (-h , k)
For option A, the vertices are visibly different. (-4 , 0) and (4 , 0)
For B, the graphs’ vertices are the same, (0 , 0).
For C, the vertices (can be obtained by differentiating and putting equal to 0) are (0 , -4) and (0 , 4)
For D, the vertices are (4 , 0) and (0 , 4)
Thus, the answer is B.

From the answer and question examples above, hopefully, they can possibly help the student solve the question they had been looking for and keep in mind of all the pieces declared in the answer above. Then would possibly make some sharing in a group discussion and also study with the classmate regarding the topic, so another student also procure some enlightenment and still keeps up the school learning.

READ MORE  Which best describes the role of financial planning?

Leave a Reply

Your email address will not be published.